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Finding the Fourth Proportional to 4,897.14, 7,345.80 and 1,610.40

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Solution

The fourth proportional to 4,897.14, 7,345.80 and 1,610.40 is: 2,415.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.14 : 7,345.80 = 1,610.40 : x
  2. Step 2: Convert to fraction form
    4,897.14/7,345.80 = 1,610.40/x
  3. Step 3: Cross multiply
    4,897.14x = 7,345.80 × 1,610.40
  4. Step 4: Simplify right side
    4,897.14x = 11,829,676.32
  5. Step 5: Solve for x
    x = 11,829,676.32/4,897.14
  6. Step 6: Final answer
    x = 2,415.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.